Abstract
In this paper, we study the matrix representations of compressions of Toeplitz operators to the finite dimensional model spaces H2 BH2, where B is a finite Blaschke product. In particular, we determine necessary and sufficient conditions in terms of the matrix representation of when a linear transformation on H2 BH2 is the compression of a Toeplitz operator. This result complements a related result of Sarason [6].
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